
Proposition REF : we give a Leibniz formula for the intrinsic slope when \(\pi \)  satisfies a weaker linearity condition.

Proposition REF  and Corollary REF : we focus our attention on the well-known properties of intrinsic dilations in Carnot groups and we show that the dilation of a Lipschitz section is so too.

Proposition REF : an open question is whether the sum of two Lipschitz maps in the Franchi, Serapioni and Serra Cassano sense is so too. Our idea of proof in [1]} does not work to solve this open question in general case; on the other hand, if we just consider the linearity of \(\pi \)  valued in the points of the two sections, then it is possible to get a positive answer in the context of Carnot groups of step 2 [2]}, [3]}.

